Beyond the Mandelbrot set, an intro to holomorphic dynamics

An intro to holomorphic dynamics, the study of iterated complex functions. Video on Newton’s fractal: Special thanks to these supporters: #thanks Extra special thanks to Sergey Shemyakov, of Aix-Marseille University, for helpful conversations and for introducing me to this phenomenon. How a Mandelbrot set arises from Newton’s work Beyond the Mandelbrot set, an intro to holomorphic dynamics ------------------ Introduction to Fatou sets and Julia sets, including a discussion of Montel’s theorem and its consequences: ~scott/Papers/India/ Numberphile with Ben Sparks on the Mandelbrot set: Excellent article on , from the basics of building up complex numbers to Julia sets. Bit of a side note, but if you want an exceedingly beautiful rend